Question

determine the domain on which the following function is decreasing.

Explanation:

Step1: Recall decreasing - function definition

A function is decreasing when, as \(x\) increases, \(y\) decreases.

Step2: Observe the graph

Looking at the graph, we see that as \(x\) moves from the vertex of the parabola (around \(x = 5\)) to the right - hand side, the \(y\) - values are getting smaller.

Answer:

\([5,9]\)